A consumer advocate group selects a random sample of 205 snow foods in find 174 of them contain more what is indicated on the snacks nutritional information. Create a 90% confidence interval for the population proportion for a snack foods that contain more fat grams and was indicated on the snacks nutritional information

Answers

Answer 1

Answer: (0.809, 0.891)

Step-by-step explanation:

Let p = population proportion for a snack foods that contain more fat grams and was indicated on the snacks nutritional information .

As per given , we have

Sample size : n= 205

Sample proportion: [tex]\hat{p}=\dfrac{174}{205}\approx0.85[/tex]

z-value for 90% confidence = 1.645

Confidence interval for p: [tex]\hat{p}\pm z^* \sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]0.85\pm (1.645)\sqrt{\dfrac{(0.85)(1-0.85)}{205}}\\\\=0.85\pm (1.645)\sqrt{\dfrac{0.85\times0.15}{205}}\\\\= 0.85\pm (1.645)\sqrt{0.000621951219512}\\\\=0.85\pm0.041\\\\=(0.85-0.041,\ 0.85+0.041)\\\\= (0.809,\ 0.891)[/tex]

Hence, the required confidence interval = (0.809, 0.891)


Related Questions

How much time will it take for an amount of ₹9000 to yield ₹810 as interest at 4.5 % per annum of simple interest?
[Irrelevant answers will be reported]​

Answers

Answer:

2 years

Step-by-step explanation:

Let us take the time period be t .

And , we know formula of SI as ,

[tex]\boxed{SI = \frac{PRT}{100}}[/tex]

[tex]\implies Rs 810 = \dfrac{Rs 9000 \times 4.5 \times t }{100}\\\\\implies t = \dfrac{810 \times 100 }{9000\times 4.5 } \\\\\underline{\boxed{\red {\implies Time = 2 \ years }}}[/tex]

suppose aaron earned 15.75 in interest for account A and 28.00 in interest for account B after 21 months if the simple interest rate is 3.0% for account A and 4.0% for account B wich account has the greater principle explain

Answers

Answer:

Principle for account B is greater.

Step-by-step explanation:

First of all, let us have a look at the formula for Simple Interest:

[tex]SI =\dfrac{PRT}{100}[/tex]

Where [tex]P[/tex] is the principle amount

[tex]R[/tex] is the Rate of interest per annum

[tex]T[/tex] is the time in years.

Time = 21 months = [tex]\frac{21}{12}\ yrs[/tex]

[tex]R_1 = 3\% \\R_2=4\%[/tex]

Let the Principles be [tex]P_1, P_2[/tex].

Using the formula for Simple Interest, we get:

[tex]SI_1=\dfrac{P_1\times 3\times 21}{100\times 12}\\\Rightarrow 15.75=\dfrac{P_1\times 3\times 21}{100\times 12}\\\Rightarrow P_1 = 300[/tex]

[tex]SI_2=\dfrac{P_2\times 4\times 21}{100\times 12}\\\Rightarrow 28=\dfrac{P_2\times 3\times 21}{100\times 12}\\\Rightarrow P_2 = 533.33[/tex]

Therefore, principle for account B is greater.

just fill in the blanks pls tyy

Answers

Sowwy I do not know

I hope you have a good day tho

At an intersection, the red light of route A is red for 60 seconds and the other two lights are red for 45 and 75 seconds, respectively. What is the probability that a car traveling from route A will encounter a red light at an intersection?

Answers

Answer:

1/3

Step-by-step explanation:

The probability of an event E in a sample space S is P(E) = desired outcome/total number of possible outcomes.

The probability of encountering a red light at the intersection P(red light on) = time it takes red light to stay on/total time all the lights stay on, where desired outcome = time it takes red light to stay on on route A and total number of possible outcomes = total time all the lights stay on.

Since all the other two lights have to come on after the red light goes off and before the red light comes on again, and the red light has to be on to encounter it at an intersection.

So, P(red light on) = 60 s/(60 s+ 45 s+ 75 s)

= 60 s/180 s

= 1/3

Matt's saving account balance went from $325 at the beginning of the month to $195 at the end of the month. What was the percent of decrease?

Answers

Answer:

60%

Step-by-step explanation:

yes

11. A loading crew estimates that it can load 8 boxes in 20 minutes. At this rate,
how many boxes could it load in 1 hour?

Answers

okokokokokokokokokok

Answer:

24

Step-by-step explanation:

If 20 × 3 = 60 which is an hour then you do 8 × 3 = 24.

So 24 boxes

Los animales ______ al río. (2 points)
A eran B estudiaban C tomaban D iban

Answers

the answer is D :)!!
I really don’t know what that’s says but I will just with the person who did it first

Find the percent of increase from 15 lbs. to 31 lbs. Round to the nearest tenth if necessary.

Answers

It is a 101.67 percent increase hope this helps

Please help. 40 points + brainliest

(***NOTICE: Bots/trolls seeking points will be reported***)

1. Solve for q:

√3q + 2 = √5

2. solve for d:

4d + 1 = √3

3. Solve for m:

m/√3 - 11 = 4

Answers

Answer:

1) q = (sq rt 15 - 2) / 3

2) d = (sq rt 3 - 1) / 4

3) m = 15 * sq rt 3

Step-by-step explanation:

1.√3q + 2 = √5

we bring to the power of 2 each element

(√3q)^2+2^2=√5^2

3q+4=5

3q=4-5

q=1/3

2.

4d+1=√3

we do the same thing

16d^2+1=3

16d^2=2

d^2=2/16

d^2=1/8

d=√1/√8

3.

m/√3 -11=4

first we rationalise by multiplying the first fraction with √3

m√3 /3-11=4

now we can bring to the power of 2

3m^2/9-121=16

3m^2/9=137

m^2/3=137

m^2=411

m=√411

Question 3 of 10
Use the quadratic formula to find both solutions to the quadratic equation
given below.
2x²+x-1=0

Answers

Answer:

x=1/2 or x=−1

Step-by-step explanation:

The solution to the quadratic equation is x = -1 or 1/2

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

2x² + x - 1 = 0   be equation (1)

And , roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

On simplifying , we get

x = [ -1 ± √ ( 1 )² - ( 4 ) ( 2 ) ( -1 ) ] / 4

x =  [ -1 ± √ ( 1 + 8 ) ] / 4

x = [ -1 ± 3 ] / 4

So , the two values of x are

x = ( -1 - 3 ) / 4

x = -1

And , x = ( -1 + 3 ) / 4

x = 1/2

Therefore , the values of x are -1 or 1/2 respectively

Hence , the roots of the quadratic equation are -1 or 1/2 respectively

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What is gross income? Gross income is money earned before taxes are taken from a paycheck. Gross income is money earned after taxes are taken from a paycheck. Gross income is money paid to fund firefighters and police officers. Gross income is money paid for taxes.

Answers

Answer:

Gross income is money earned before taxes are taken from a paycheck

Step-by-step explanation:

Gross income is money earned before taxes are taken from a paycheck

Gross income refers to the total amount of money earned by an individual over a specific period of time usually a year before any deductions such as taxes is made.

Gross income includes income earned from all sources. It can also be called Gross pay on a paycheck.

For example, if an individual earns $100 in a year and is expected to pay a tax of 2%. The gross income is $100 before tax is deducted

im struggling :(((((((((((

Answers

Answer:

Step-by-step explanation:im sorry im only 11

C С
800.54 + 90.52 =

Answers

Answer: 891.06

Step-by-step explanation:

add 800.54 by 90.52

Which set of transformations would prove triangle QRS ~ triangle UTS?? Help!

Answers

Answer:

A or the first one

Step-by-step explanation:

Only answer that has dialate (which makes the triangle bigger) and the other answers have translate which just move the triangle so you can eliminate them quickly

Write a function rule.

y is 9 less than the product of 8 and x.

Answers

Answer:

dumyemimynumifgmfdhum

what are you doing for math

Answers

algebra.............

This is not an academic question and cannot be answered by Brainly contributors. Happy holidays!

BASED ON THE GRAPH, WHICH STATEMENT IS CORRECT?

Answers

Answer:

i would go for a but im not really sure. sorry if incorrect

Step-by-step explanation:

Which of the following is a solution to the equation 3/4x - 12 = -18?
4.5
-22.5
-40
-8

Answers

Answer:

-8

Step-by-step explanation:

3/4x=-18+12

x=-6×4/3

x=-8

Answer:

x = -8

Step-by-step explanation:

[tex] \frac{3}{4} x - 12 = - 18[/tex]

i) multiply both sides of equation with 4

[tex] 4(\frac{3}{4} x - 12) = 4( - 18)[/tex]

[tex](4 \times \frac{3}{4} x) + (4 \times ( - 12)) = - 72[/tex]

[tex]3x - 48 = - 72[/tex]

ii) move -48 to the right-hand side and change its sign

[tex]3x = - 72 + 48[/tex]

iii) calculate the sum

[tex]3x = - 24[/tex]

iv) divide both sides of equation with 3

[tex] \frac{3x}{3} = \frac{ - 24}{3} [/tex]

[tex]x = - 8[/tex]

the length of a rectangle is 4cm more than double its width. the perimeter of the rectangle is 116cm. Find the length and the width of the rectangle

Answers

Answer:

l = 31 cm

w = 27 cm

Step-by-step explanation:

l = w + 4

p = 2l + 2w

p = 2(w+4) + 2w

116 = 2(w+4) + 2w

116 = 2w + 8 + 2w

116 = 4w + 8

108 = 4w

27 = w

l = w + 4

l = 27 + 4

l = 31

hope this helps, pls mark brainliest :D

Answer:

w=18 L=40

Step-by-step explanation:

 w

---------

|         |

|         | 2w+4

|         |

---------

2(2w+4)+ 2(w)=116

6w+8=116

6w=108

w=18

2(18)+4

36+4

40

Solve for x: 10(x + 1) = 2x - 7

Answers

Answer:Simplifying

x = -2.125

Step-by-step explanation:Add '-10' to each side of the equation.

10 + -10 + 8x = -7 + -10

Combine like terms: 10 + -10 = 0

0 + 8x = -7 + -10

8x = -7 + -10

Combine like terms: -7 + -10 = -17

8x = -17

Divide each side by '8'.

x = -2.125

Simplifying

x = -2.125

Answer: x=-17/8


First, distribute the 10

10x + 10 = 2x - 7

Next, move the x-values to one side

8x = -17

Now, isolate the x by dividing both sides by 8

x = -17/8

Which of the following represents a function

Answers

Answer:

D represents a function pretty sure I had a problem like this as well

Step-by-step explanation:

C is the answer because the same input (x) number can not be matched twice with and output (y). The numbers in the input(x), or domain, constantly goes up by one, and the output(y), or range, constantly goes down by one.

I hope this helped!! Please correct me if I was wrong :)

Use the distributive property to remove the parentheses. -5(-6y - 3w + 2)

Answers

Answer:

−5(−6y−3w+2)

=(−5)(−6y+−3w+2)

=(−5)(−6y)+(−5)(−3w)+(−5)(2)

=30y+15w−10

=15w+30y−10

Help Will give crown

Answers

Answer:

a) x=3

y=6*3+4

=22

b) x=4

y=6*4+4

=24

c) x=6

y=6*6+4

=40

d) x=7

y=6*7+4

=46

Hope it will help you......


There were 24 boys and 20 girls in a chess club last year. This year
the number of boys increased by 25% but the number of girls
decreased by 10%.
Find the overall percent change in membership of the club.
10

Answers

Answer:

35%

Step-by-step explanation:

If you take the amount of percent the girls decreased, and the amount the boys increased in percentages, you will have your answer when just adding them together. So the answer is 35% or as in 6 boys joined and 2 girls left. So that gives you a total of 8 joining or leaving the chess club or 35% difference.

The graph for the equation y = 2 x minus 2 is shown below. On a coordinate plane, a line goes through points (0, negative 2) and (1, 0). If another equation is graphed so that the system has one solution, which equation could that be? y = 2 (x + 1) y = 2 (x minus 1) y = 2 (x minus 2) y = negative 2 (x + 1)
THIS IS TIMED

Answers

Answer:

i think it is b correct me if i am rong

Step-by-step explanation:

The correct equation for the solution to be one will be y = 2(x -1) hence, the correct option is (B).

What is a graph?

The link between lines and points is described by a graph, which is a diagrammatic representation of a network. A graph is made up of some points and the distance between two. It doesn't matter how much time the lines are or where the points are located. A node is a name for each constituent in a graph.

For example to draw the equation y = 2x +9 this will draw a straight line in the coordinate geometry.

Given that an equation y = 2x - 2 now another equation draw which should intersect with the line y = 2x - 2 at a single point only so that the system has only one solution.

so the y = 2x - 2 should be matched with any one option.

By cross-checking the option it will be (B) with equation y = 2(x -1).

For more details about the graph

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Hey, can anyone help me with part A??

Answers

9514 1404 393

Answer:

  3.75 cm

Step-by-step explanation:

Corresponding sides are proportional.

  CD/BC = BC/AB

  CD = (BC)²/AB . . . . . multiply by BC

  CD = (6 cm)²/(9.6 cm) = (36/9.6) cm

  CD = 3.75 cm

Answer!
A car travels from A to B at a speed of 30 mph then returns, using the same road, from B to A at a speed of 65 mph. What is the average speed for the round trip?

Answers

Here is an example for your question



Average with respect to what? If we take the time-weighted average, the two legs of the trip will be weighted differently (the leg from A to B taking 60/40 = 3/2 times as long as the leg from B to A), and we will get an average of 48 MPH.

But the time-weighted average is not the only average we can consider. We could also consider the distance-weighted average (which might be useful if we were considering, say, the wear on the road caused by such travel); then the two legs would be weighted equally and the average would be 50 MPH.

Often, when people speak about average speed, it's the former of these notions which is implicitly meant (since speed itself is distance over time, we have the nice property that the time-weighted average of speeds will always be the total distance over the total time), but the latter is a perfectly legitimate notion as well. Averages are always averages with respect to some weighting, and different weightings will give different averages.

Answer:

         41 mph

Step-by-step explanation:

s₁ = s₂ = x       {the distance from A to B}

s = s₁ + s₂ = x + x = 2x      {the distance of the round trip}

t = t₁ + t₂               {the time of the round trip}

v₁ = 30 mph      

v₂ = 65 mph

t₁ = s₁/v₁ = x/30 h       {the time of trip from A to B}

t₂ = s₂/v₂ = x/65 h      {the time of trip from B to A}

The average speed:

[tex]v=\dfrac st=\dfrac{2x}{\frac x{30}+\frac x {65}}=\dfrac{2x}{x(\frac 1{30}+\frac1 {65})}=\dfrac{2}{\frac{13}{390}+\frac6{390}}=2\cdot\frac{390}{19}=41.05263...\approx41[/tex]

Select the correct answer.
Which expression is equivalent to 8V6?
O A. 14
OB.
748
O C. 196
OD. 384
Reset

Answers

Given:

Consider the complete question is "Which expression is equivalent to [tex]8\sqrt{6}[/tex]? A. [tex]\sqrt{14}[/tex]  B.  [tex]\sqrt{748}[/tex] C. [tex]\sqrt{196}[/tex] D. [tex]\sqrt{384}[/tex]".

To find:

The equivalent expression.

Solution:

We have,

[tex]8\sqrt{6}[/tex]

It can be written as

[tex]=(\sqrt{8})^2\sqrt{6}[/tex]

[tex]=\sqrt{8}\cdot \sqrt{8}\codt \sqrt{6}[/tex]

[tex]=\sqrt{8\cdot 8\cdot 6}[/tex]          [tex][\because \sqrt{a}\sqrt{b}=\sqrt{ab}][/tex]

[tex]=\sqrt{384}[/tex]

So, [tex]\sqrt{384}[/tex] is equivalent to [tex]8\sqrt{6}[/tex].

Therefore, the correct option is D.

1
II
III
IV
X
.
.
X .
-1 | 2
-11-1
-11-4
0 3
2 1-1
-13
0
0
-4-1
--3 0
-1 2
-1 1
0 3
2-5
0 0
2
2
3
3
A. III
B.IV
C.
D
1

Answers

Answer:

X .

-1 | 2

-11-1

-11-4

0 3

2 1-1

-13

0

0

-4-1

--3 0

-1 2

-1 1

0 3

2-5

0 0

2

2

3

3

A. III

B.IV

C.

D

1\

Step-by-step explanation:

^^^ this too please

Answers

I believe the measurement of CD is 90 degrees
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